Final Answer
Step-by-step Solution
Specify the solving method
Starting from the left-hand side (LHS) of the identity
Applying the pythagorean identity: $\cos^2(\theta)=1-\sin(\theta)^2$
Learn how to solve trigonometric identities problems step by step online.
$\sin\left(x\right)^2+2\cos\left(x\right)^2$
Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity sin(x)^2+2cos(x)^2=2-sin(x)^2. Starting from the left-hand side (LHS) of the identity. Applying the pythagorean identity: \cos^2(\theta)=1-\sin(\theta)^2. Multiply the single term 2 by each term of the polynomial \left(1-\sin\left(x\right)^2\right). Simplifying.